5127307891440 has 240 divisors, whose sum is σ = 18491573463552. Its totient is φ = 1171837352448.

The previous prime is 5127307891309. The next prime is 5127307891457. The reversal of 5127307891440 is 441987037215.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175056477 + ... + 175085763.

Almost surely, 2^{5127307891440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127307891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245786731776).

5127307891440 is an abundant number, since it is smaller than the sum of its proper divisors (13364265572112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5127307891440 is a wasteful number, since it uses less digits than its factorization.

5127307891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44204 (or 44191 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 5127307891440 in words is "five trillion, one hundred twenty-seven billion, three hundred seven million, eight hundred ninety-one thousand, four hundred forty".